This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Integer Sequences The symbolic character of Mathematica makes possible a uniquely coherent approach to integer sequences, integrating functional forms, equations, generating functions, and explicit lists of values. Powerful new algorithms developed at Wolfram Research make possible recognition of functional forms for an extremely wide range of classes of integer sequences. Sequence Generation Table — generate a sequence from a formula RecurrenceTable — generate a sequence from a recurrence or functional equation LinearRecurrence — generate a linear recurrence sequence Sequence Recognition FindLinearRecurrence — find if possible a linear recurrence for a sequence FindSequenceFunction — find general functional forms for integer sequences Generating Functions FindGeneratingFunction — find generating functions for integer sequences      Fibonacci, LucasL — Fibonacci and Lucas numbers and polynomials DifferenceRoot — general representation of solutions to linear difference equations MORE ABOUT Manipulating Integer Sequences Integer Functions Discrete Calculus Computational Systems